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Finding the Fourth Proportional to 163.74, 245.55 and 71.18

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Solution

The fourth proportional to 163.74, 245.55 and 71.18 is: 106.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    163.74 : 245.55 = 71.18 : x
  2. Step 2: Convert to fraction form
    163.74/245.55 = 71.18/x
  3. Step 3: Cross multiply
    163.74x = 245.55 × 71.18
  4. Step 4: Simplify right side
    163.74x = 17,478.25
  5. Step 5: Solve for x
    x = 17,478.25/163.74
  6. Step 6: Final answer
    x = 106.74

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.